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人気のある三角関数 >

csc(x+10)=3

解

csc (x + 1 0^{\circ}) = 3

解

x = 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 18 0^{\circ} - 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

ラジアン

x = 0.33983 \dots - \frac{π}{18} + 2 πn, x = π - 0.33983 \dots - \frac{π}{18} + 2 πn

解答ステップ

csc (x + 1 0^{\circ}) = 3

三角関数の逆数プロパティを適用する

csc (x + 1 0^{\circ}) = 3

以下の一般解

csc (x + 1 0^{\circ}) = 3

csc (x) = a \Rightarrow x = arccsc (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (a) + 36 0^{\circ} n

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n, x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n, x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

解く

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n : x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n

1 0^{\circ}

を右側に移動します

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n

両辺から

1 0^{\circ}

を引く

x + 1 0^{\circ} - 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

簡素化

x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

解く

x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n : x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

1 0^{\circ}

を右側に移動します

x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

両辺から

1 0^{\circ}

を引く

x + 1 0^{\circ} - 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

簡素化

x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}, x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

10進法形式で解を証明する

x = 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 18 0^{\circ} - 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}

グラフ

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